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a$.$ What is the appropriate control chart to use to monitor this process?

A$.$ Both an R$-$chart and an $\stackrel{}{x}-$chart

A p$-$chart

C$.$ Ac$-$chart

D$.$ An $\stackrel{}{x}-$chart

E$.$ An R$-$chart

b$.$ Use the data to construct the appropriate control chart

Which graph below shows the appropriate chart for the data?

A$.$

D$.$

A$.$ With the $3$ new points, $9$ points in a row are below the centerline, which indicates that the process has gone out of control.

B$.$ With the $3$ new points, $6$ points in a row are increasing, which indicates that the process has gone out of control.

C$.$ Since several points are above the upper control limit$,$ the process was never in control.

D$.$ Since all of the points are between the control limits$,$ the process is in control.

E$.$ Since the $3$ new points are outside the control limits$,$ the process has gone out of control.

d$.$ Suppose that the next sample of $50$ after the three from part c has $10$ improperly folded brochures. What conclusions should be based on the control chart?

A$.$ With the new point, at least $9$ points in a row are below the centerline, which indicates that the process has gone out of control.

B$.$ Since at least one of the points is outside the control limits$,$ the process is still in control.

C$.$ Since the new point is also outside the control limits$,$ the process is still out of control.

D$.$ With the new point, at least $6$ points in a row are increasing, which indicates that the process has gone out of control.

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